STEP - BY - STEP EXPLANATION
What to find?
Volume of a cylinder.
Given:
Diameter = 10
Height = 12
Step 1
Recall the formula for volume of a cylinder.
![Volume=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/college/9fg15zzbb89o3b0pedfey0mj8nb23z96is.png)
Where r is the radius and h is the height.
Step 2
Determine the height and radius of the cylinder.
From the question, we already know that the height (h) = 12
![\begin{gathered} Radius=(Diameter)/(2) \\ \\ =(10)/(2) \\ \\ =5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vk2cfqp03x5eeq170fqqxp6muhpo70k3te.png)
π=3.14
Step 3
Substitute the values into the formula.
![Volume=3.14159265359*5^2*12](https://img.qammunity.org/2023/formulas/mathematics/college/4anfbfdtm2zfe3p6cj4jtlokhu5jvat87q.png)
![\approx942.478](https://img.qammunity.org/2023/formulas/mathematics/college/m8jk2n9srat8tra5hq6cyvi6w027y9w3n9.png)
ANSWER
942.478 cubic units.